Discretization of the Density Matrix as a Nonlinear Positive Map and Entanglement
- Авторы: López-Saldívar J.A.1, Figueroa A.1, Castaños O.1, López–Peña R.1, Man’ko M.A.2, Man’ko V.I.2,3
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Учреждения:
- Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
- Lebedev Physical Institute, Russian Academy of Sciences
- Moscow Institute of Physics and Technology (State University)
- Выпуск: Том 37, № 4 (2016)
- Страницы: 313-327
- Раздел: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/247892
- DOI: https://doi.org/10.1007/s10946-016-9578-4
- ID: 247892
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Аннотация
We propose the discretization of the density matrix as a nonlinear positive map for systems with continuous variables. We use this procedure for calculating the entanglement between two modes through different criteria, such as Tsallis entropy, von Neumann entropy and linear entropy, and the logarithmic negativity. As an example, we study the dynamics of entanglement for the two-mode squeezed-vacuum state in the parametric amplifier and show good agreement with the analytic results. Also we address the loss of information on the system state due to the discretization of the density matrix.
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Об авторах
Julio López-Saldívar
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
Автор, ответственный за переписку.
Email: julio.lopez@nucleares.unam.mx
Мексика, Apdo. Postal 70-543, México, D.F., 04510
Armando Figueroa
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
Email: julio.lopez@nucleares.unam.mx
Мексика, Apdo. Postal 70-543, México, D.F., 04510
Octavio Castaños
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
Email: julio.lopez@nucleares.unam.mx
Мексика, Apdo. Postal 70-543, México, D.F., 04510
Ramón López–Peña
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México
Email: julio.lopez@nucleares.unam.mx
Мексика, Apdo. Postal 70-543, México, D.F., 04510
Margarita Man’ko
Lebedev Physical Institute, Russian Academy of Sciences
Email: julio.lopez@nucleares.unam.mx
Россия, Leninskii Prospect 53, Moscow, 119991
Vladimir Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: julio.lopez@nucleares.unam.mx
Россия, Leninskii Prospect 53, Moscow, 119991; Dolgoprudnyi, Moscow Region, 141700
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